Time Response of Reactive Circuits

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Q. How does increasing resistance in an RC circuit affect the time response?
  • A. Increases time constant
  • B. Decreases time constant
  • C. No effect
  • D. Increases voltage
Q. How does the time response of an RL circuit differ from that of an RC circuit?
  • A. RL is faster than RC
  • B. RC is faster than RL
  • C. Both are the same
  • D. Depends on values of R and L
Q. In a first-order RC circuit, what happens to the voltage across the capacitor after 5 time constants?
  • A. It is at 100% of V0
  • B. It is at 63.2% of V0
  • C. It is at 86.5% of V0
  • D. It is at 50% of V0
Q. In a series RLC circuit, what happens when the damping ratio is less than 1?
  • A. The circuit is overdamped
  • B. The circuit is critically damped
  • C. The circuit is underdamped
  • D. The circuit is unstable
Q. In a small-signal model, what does the output voltage of an op-amp depend on?
  • A. Input voltage and feedback
  • B. Only input voltage
  • C. Only feedback
  • D. Power supply voltage
Q. In an RL circuit, what does the time constant represent?
  • A. The time to charge the inductor
  • B. The time to discharge the inductor
  • C. The time to reach 63.2% of final value
  • D. The time to reach 100% of final value
Q. What does the damping ratio (ζ) indicate in a reactive circuit?
  • A. The speed of response
  • B. The stability of the system
  • C. The overshoot in the response
  • D. All of the above
Q. What happens to the time response of an RC circuit as the resistance increases?
  • A. Time response decreases
  • B. Time response increases
  • C. Time response remains constant
  • D. Time response becomes negative
Q. What is the characteristic equation of a first-order system?
  • A. s + 1/τ = 0
  • B. s^2 + 1/τ = 0
  • C. s + τ = 0
  • D. s^2 + τ = 0
Q. What is the characteristic equation of a second-order system?
  • A. s^2 + 2ζω_ns + ω_n^2 = 0
  • B. s^2 + ω_n^2 = 0
  • C. s^2 + 2ω_ns + ζ = 0
  • D. s^2 + 2s + 1 = 0
Q. What is the characteristic of the small-signal model of a diode?
  • A. Linear resistance
  • B. Constant voltage drop
  • C. Variable capacitance
  • D. Current source
Q. What is the effect of capacitance on the time response of an RC circuit?
  • A. Increases time constant
  • B. Decreases time constant
  • C. No effect
  • D. Increases current
Q. What is the effect of increasing capacitance in an RC circuit?
  • A. Faster response
  • B. Slower response
  • C. No effect
  • D. Increased voltage
Q. What is the final voltage across a capacitor in an RC circuit after a long time?
  • A. 0V
  • B. V0
  • C. V0/2
  • D. V0*e^(-t/RC)
Q. What is the formula for the time constant in an RL circuit?
  • A. L/R
  • B. R/L
  • C. L+R
  • D. R-L
Q. What is the formula for the time response of a first-order RC circuit to a step input?
  • A. V(t) = V_final(1 - e^(-t/τ))
  • B. V(t) = V_final(e^(-t/τ))
  • C. V(t) = V_initial + (V_final - V_initial)(1 - e^(-t/τ))
  • D. V(t) = V_initial + (V_final - V_initial)e^(-t/τ)
Q. What is the primary function of a rectifier in a circuit?
  • A. Convert AC to DC
  • B. Amplify signals
  • C. Filter noise
  • D. Store energy
Q. What is the response of an RC circuit to a step input?
  • A. Exponential decay
  • B. Linear decay
  • C. Exponential rise
  • D. Sinusoidal response
Q. What is the response of an underdamped second-order system to a step input?
  • A. Exponential decay
  • B. Oscillatory decay
  • C. Constant value
  • D. Linear increase
Q. What is the significance of the natural frequency (ω_n) in reactive circuits?
  • A. It determines the maximum current
  • B. It indicates the frequency of oscillation
  • C. It affects the voltage drop
  • D. It is irrelevant
Q. What is the significance of the time constant in reactive circuits?
  • A. It determines the frequency response
  • B. It indicates the speed of response
  • C. It defines the maximum voltage
  • D. It sets the power rating
Q. What is the time response of a first-order system characterized by?
  • A. Second-order differential equation
  • B. First-order differential equation
  • C. Zero-order differential equation
  • D. Third-order differential equation
Q. What is the unit of time constant?
  • A. Seconds
  • B. Ohms
  • C. Farads
  • D. Henries
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